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a. The Ipad was the device with a score of 81. Find the percentile for this device.

a. The Ipad was the device with a score of 81. Find the percentile for this device.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Consumer Reports Tablet Ratings** In a recent year, Consumer Reports evaluated various tablet computers for their overall performance and quality. Based on several criteria, they assigned each tablet an overall rating. Higher scores indicate better ratings. Below are the overall ratings for tablets produced by Apple: **Apple Ratings:** - Scores: 87, 87, 87, 87, 86, 86, 86, 84, 84, 84, 84, 83, 83, 83, 81, 79, 76, 73 **Summary Statistics:** | Statistic | Value | |------------|--------| | Mean (x̄) | 83.45 | | Standard Deviation (sₓ) | 3.762 | | Minimum | 73 | | Q₁ (First Quartile) | 83 | | Median | 84 | | Q₃ (Third Quartile) | 86 | | Maximum | 87 | | IQR (Interquartile Range) | 3 | **Questions:** a. The iPad scored 81. Find the percentile for this device. b. Interpret the standard deviation of 3.762 for Apple devices. c. Calculate the IQR of the ratings for Apple devices and interpret its significance. d. Determine if there are any outliers and justify your answer. e. Construct a boxplot for the data. **Explanation of Statistical Measures:** - **Mean (x̄):** The average score of all Apple tablets. - **Standard Deviation (sₓ):** Indicates how much variation or spread exists from the average score. - **Minimum and Maximum:** The lowest and highest scores in the data set. - **Quartiles (Q₁, Median, Q₃):** Divide the data into four equal parts. - **IQR (Interquartile Range):** Measures the spread of the middle 50% of the data, calculated as Q₃ - Q₁.
Transcribed Image Text:**Consumer Reports Tablet Ratings** In a recent year, Consumer Reports evaluated various tablet computers for their overall performance and quality. Based on several criteria, they assigned each tablet an overall rating. Higher scores indicate better ratings. Below are the overall ratings for tablets produced by Apple: **Apple Ratings:** - Scores: 87, 87, 87, 87, 86, 86, 86, 84, 84, 84, 84, 83, 83, 83, 81, 79, 76, 73 **Summary Statistics:** | Statistic | Value | |------------|--------| | Mean (x̄) | 83.45 | | Standard Deviation (sₓ) | 3.762 | | Minimum | 73 | | Q₁ (First Quartile) | 83 | | Median | 84 | | Q₃ (Third Quartile) | 86 | | Maximum | 87 | | IQR (Interquartile Range) | 3 | **Questions:** a. The iPad scored 81. Find the percentile for this device. b. Interpret the standard deviation of 3.762 for Apple devices. c. Calculate the IQR of the ratings for Apple devices and interpret its significance. d. Determine if there are any outliers and justify your answer. e. Construct a boxplot for the data. **Explanation of Statistical Measures:** - **Mean (x̄):** The average score of all Apple tablets. - **Standard Deviation (sₓ):** Indicates how much variation or spread exists from the average score. - **Minimum and Maximum:** The lowest and highest scores in the data set. - **Quartiles (Q₁, Median, Q₃):** Divide the data into four equal parts. - **IQR (Interquartile Range):** Measures the spread of the middle 50% of the data, calculated as Q₃ - Q₁.
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